EPFL
 Biomedical Imaging GroupSTI
EPFL
  Publications
English only   BIG > Publications > Sampled Periodic Signals


 CONTENTS
 Home Page
 News & Events
 People
 Publications
 Tutorials and Reviews
 Research
 Demos
 Download Algorithms

 DOWNLOAD
 PDF
 Postscript
 All BibTeX References

An Error Analysis for the Sampling of Periodic Signals

M. Jacob, T. Blu, M. Unser

Proceedings of the Fourth International Conference on Sampling Theory and Applications (SampTA'01), Orlando FL, USA, May 13-17, 2001, pp. 45-48.



We analyze the representation of periodic signals in a scaling function basis. This representation is sufficiently general to include the widely used approximation schemes like wavelets, splines and Fourier series representation. We derive a closed form expression for the approximation error in the scaling function representation. The error formula takes the simple form of a Parseval like sum, weighted by an appropriate error kernel. This formula may be useful in choosing the right representation for a class of signals. We also experimentally verify the theory in the particular case of description of closed curves.


@INPROCEEDINGS(http://bigwww.epfl.ch/publications/jacob0101.html,
AUTHOR="Jacob, M. and Blu, T. and Unser, M.",
TITLE="An Error Analysis for the Sampling of Periodic Signals",
BOOKTITLE="Proceedings of the Fourth International Conference on
        Sampling Theory and Applications ({SampTA'01})",
YEAR="2001",
editor="",
volume="",
series="",
pages="45--48",
address="Orlando FL, USA",
month="May 13-17,",
organization="",
publisher="",
note="")

© 2001 SampTA. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from SampTA.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.